Better accuracy with the ATs in both 12 and 20 for us. The AT has a brass jacket and holds up quite well on large bodied MW bucks. I haven't had success with the SSTs yet, but intend to give them one more go in a new FR 23" 870 bbl.
I would think with the bullet weight and velocity a 12 Ga pushes them at yes. Its the same bullet as a Thompson Center Shockwave and the Hornady ST muzzleloader bullet. You would probably get a pass through on Elk. I have not shot an Elk with them but would not hesitate to do so.